GATE ME 2019 Set 1 — Question 38
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumRandom VariablesProbabilityEngineering MathematicsPMF, PDF & CDF
Engineering Mathematics → Probability → PMF, PDF & CDF
Last updated
Question
The variable takes a value between 0 and 10 with uniform probability distribution. The variable takes a value between 0 and 20 with uniform probability distribution. The probability of the sum of variables being greater than 20 is
Correct answer
(B) 0.25
Solution
The joint probability density function for independent uniform random variables and is for and . The total area of the sample space is . We want to find . The region within the rectangle is a triangle with vertices , , and . The area of this triangle is . Thus, the probability is .
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE ME question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Probability
2026 Set 1 Q11Domain is bounded by curve , ordinate , and axis. The value of…2026 Set 1 Q12Let be a scalar function. Then, is2026 Set 1 Q13The order and degree of the following differential equation are and , respectively.…2026 Set 1 Q14Newton-Raphson method for solving algebraic equations is based on2026 Set 1 Q15The exact solution of is represented as . If represents…